Pillai: M-ary Hypothesis Testing

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Bayes' style M-ary Hypothesis testing by minimizing overall risk. Special case of All-or_nothing cost leads to testing of maximum a-posteriori probabilities.
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Was waiting for Your lecture for the past 8 months! I truly enjoy Your lecture! Thanks

krishankumarsingh
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Hi, thank you very much for this valuable lesson. I have a question that I would be grateful if you would answer: How do you make the conclusion that you need to maximize the posterior? Shouldn't we consider maximizing the overall integral? Also one last question, when we define the cost R, we do not have a parameter of selection but just a summation of different costs. How did we determine that we need to select some i over another?

I would be really grateful if you could elaborate on these parts a little.

alperenduru